Question

5y+2=1/2(10y+4)

Answer 1

That's a true statement.

Answer 2

\[{1 \over2}\left( 10y + 4\right) \implies {10y \over 2}+{4 \over 2} \implies 5y + 2 \]But our LHS is 5y + 2 as well!\[ 5y + 2 = 5y + 2\]\[ \implies y =y\]

Answer 3

We can't determine a constant value of \(y\), but can say that \(y\) applies to ALL REAL NUMBERS.

Answer 4

5y + 2 = 1/2(10y + 4)

5y + 2 = 1/(20y + 8)

(5y + 2)(20y + 8) = 1

100y^2 + 40y + 40y + 16 = 1

100y^2 + 80y + 15 = 0

using quadratic formula:

x = (-80 +/- SQR(6400 - 4(100)(15)))/2(100)

x = (-80 +/- 20)/200

x = -0.5, -0.3

Answer 5

I don't think there's an \(x\) in the given equation, @abayomi12.

Answer 6

And the question *may* be\[5y + 2 = {1 \over 2(10y + 4)} \]If it is,\[5y + 2 = {1 \over 20y + 8} \]\[ \implies (5y + 2)(20y + 8)-1 = 0\]Expand and find y.

Answer 7

what do you mean by expand?

Answer 8

Expanding is to multiply two expressions. For example,\[\text{Expand }(a + b)(a - b) \]\[\implies a(a + b) - b(a + b)\]\[\implies a^2 + ab - ab + b^2 \]\[\implies a^2 - b^2 \]

Answer 9

i think abayomi12 has given u a close to perfect response. it becomes perfect when u change the x to y...hope u were able to "expand" though.